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2 years ago

Write the ratio using fraction notation and reduce.

Mathematics

1 answer:

valkas [14]2 years ago

3 0

The ratio using fraction notation of $5 to $35 would be 7.

<h3>What is a fraction?</h3>

A fraction represents a part of a number or any number of equal parts.

To convert a ratio into a fraction,

We will simply use the first number as the numerator and the second number as the denominator.

So the fraction = 35/5.

= 7

Since there are no more common factors, the fraction is in its lowest form which is 7.

Learn more about fractions;

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HELP!!! 20 POINTS!!! URGENT!!!

VashaNatasha [74]

We know that :

$\clubsuit$ $ln(A) - ln(B) = ln(\frac{A}{B})$

$\clubsuit$ $aln(x) = ln(x)^a$

$\clubsuit$ $ln(A) + ln(B) = ln(AB)$

Using above ideas we can solve the Problem :

⇒ $\frac{3}{8}ln(x + 3) = ln(x + 3)^\frac{3}{8}$

⇒ $ln(x - 3) - ln(x + 3)^\frac{3}{8} = ln[\frac{(x - 3)}{(x + 3)^\frac{3}{8}}]$

⇒ $4ln[\frac{(x - 3)}{(x + 3)^\frac{3}{8}}] = ln[\frac{(x - 3)}{(x + 3)^\frac{3}{8}}]^4 = ln[\frac{(x - 3)^4}{(x + 3)^\frac{3}{2}}]$

⇒ $\frac{1}{3}lnx + ln[\frac{(x - 3)^4}{(x + 3)^\frac{3}{2}}] = ln(x)^\frac{1}{3} + ln[\frac{(x - 3)^4}{(x + 3)^\frac{3}{2}}] = ln[\frac{\sqrt[3]{x}(x - 3)^4}{\sqrt{(x + 3)^{3}}}]$

Option 3 is the Answer

8 0

3 years ago

A highway engineer specifies that a certain section of roadway covering a horizontal distance of 2km should have a downgrade of

Zigmanuir [339]

Answer:

$0.16km$

Step-by-step explanation:

A highway engineer wants to compute the change in elevation of a section of road. The horizontal distance of this section of road is 2km and downgrade is 8%

The slope formula is given by

$m=\frac{rise}{run}=\frac{x}{y}$

m = 8% = 8/100

run = y = 2km

$m =\frac{x}{y}$

$\frac{8}{100} =\frac{x}{2}$

$\frac{2*8}{100} =x$

$x=\frac{16}{100} =0.16km$

Verification:

$m=\frac{0.16}{2}= 0.08=8%$ %

3 0

3 years ago

Read 2 more answers

Marine scientists categorize signature whistles of bottlenose dolphins by typelong dash—type a, type b, type c, etc. In one s

r-ruslan [8.4K]

Answer:

The 95% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 185, \pi = \frac{100}{185} = 0.5405$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5405 - 1.96\sqrt{\frac{0.5405*0.4595}{185}} = 0.4687$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5405 + 1.96\sqrt{\frac{0.5405*0.4595}{185}} = 0.6123$

The 95% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).

3 0

3 years ago

Intervals are not my strongest suit when it comes to prepping for my act. I could use a little help, and advice if it isn’t too

Mashcka [7]

Answer:

F. (-4, oo)

Step-by-step explanation:

Start from the left side.

The arrow on the left side shows that the graph continues increasing forever as x decreases. Beginning at the highest value of y you see on the left side at point (-6, 5), as x increases, moving right along the x-axis, the y-values decrease. When you get to x = -4, y is at its lowest value which is 1.

Starting just to the right of x = -4, the y-values begin to increase from the lowest y-value of 1. The arrowhead at the right side top shows that the curve continues increasing forever to infinity.

The values of x for which y increases are all values greater than -4 and all the way to positive infinity.

This function is increasing for x > -4.

Now we need to write x > -4 in interval notation.

In interval notation, use a curved parenthesis to mean a number that is not included. The interval starts at -4, so it starts as

(-4

Then you write a comma to separate from the value where the interval ends.

(-4,

The interval in x of increasing values goes to positive infinity, so now you write the infinity symbol, and you close the interval with a curved parenthesis. By convention, infinity always gets a curved parenthesis. Also, I'll use oo for infinity below.

(-4, oo)

Answer: F. (-4, oo)

5 0

3 years ago

. Benson had -$12 in his bank

natka813 [3]

Answer: 24

Step-by-step explanation:

you add 12 to 39 which equals 51 then you subtract 51 from 75 which equals 24

hope this helps

3 0

1 year ago

Read 2 more answers